Before you begin to receive the study drug, you will have what are called "screening tests." These tests will help the doctor decide if you are eligible to take part in this study. You will have your complete medical history recorded, and a physical exam, including measurement of vital signs (blood pressure, heart rate, temperature, and breathing rate) will be performed. Routine blood tests (about 2 teaspoons) will be collected within 1 week before therapy. Cancer tissue taken at the time of your initial diagnosis or surgery will be collected. Special stains will be done that will help find ways in which researchers can predict the response of your cancer to trastuzumab plus RAD001. Women who are able to have children must have a negative urine pregnancy test. Some participants may need x-rays and/or positron emission tomography (PET) scans before receiving study drug and again within 3 weeks after the start of therapy.